Digital Technologies in Designing Mathematics Education Tasks: Potential and Pitfalls

Front Matter....Pages i-xvi
Front Matter....Pages 1-1
Exploring Techno-Pedagogic Task Design in the Mathematics Classroom....Pages 3-16
Revisiting Theory for the Design of Tasks: Special Considerations for Digital Environments....Pages 17-40
Task Design Potential of Using an Interactive Whiteboard for Implementing Inquiry-Based Learning in Mathematics....Pages 41-54
Designing Technology that Enables Task Design....Pages 55-73
Front Matter....Pages 75-75
Designing Assessment Tasks in a Dynamic Geometry Environment....Pages 77-98
Designing Non-constructability Tasks in a Dynamic Geometry Environment....Pages 99-120
The Planimeter as a Real and Virtual Instrument that Mediates an Infinitesimal Approach to Area....Pages 121-149
Front Matter....Pages 151-151
Engagement with Interactive Diagrams: The Role Played by Resources and Constraints....Pages 153-173
Everybody Counts: Designing Tasks for TouchCounts ....Pages 175-191
Designing Innovative Learning Activities to Face Difficulties in Algebra of Dyscalculic Students: Exploiting the Functionalities of AlNuSet ....Pages 193-214
What Can You Infer from This Example? Applications of Online, Rich-Media Tasks for Enhancing Pre-service Teachers’ Knowledge of the Roles of Examples in Proving....Pages 215-235
Front Matter....Pages 237-237
Supporting Variation in Task Design Through the Use of Technology....Pages 239-257
Feedback and Discrepancies of a Physical Toolkit and a Digital Toolkit: Opportunities and Pitfalls for Mediating the Concept of Rotational Symmetry....Pages 259-283
Designing for Mathematical Applications and Modelling Tasks in Technology Rich Environments....Pages 285-301
Designing Interactive Dynamic Technology Activities to Support the Development of Conceptual Understanding....Pages 303-328
Tensions in the Design of Mathematical Technological Environments: Tools and Tasks for the Teaching of Linear Functions....Pages 329-348
Back Matter....Pages 349-352